Alexandra Kurepa & Hugh Weithers
Abstract:
Let u be a solution to the initial-value problem
In this paper we show that if
, then the
distance between the two
consecutive zeroes of u is "close" to
.
The proof is based
on an energy analysis and the Sturm comparison theorem.
Published November 24, 1999.
Subject lassfications: 34B15, 34A10, 35J65.
Key words: critical exponent, singular equation, Sturm comparison theorem.
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Alexandra Kurepa Department of Mathematics North Carolina A&T State University Greensboro, North Carolina 27411 , USA e-mail: kurepa@ncat.edu | |
Hugh Weithers Raytheon AIS, Software Engineer II e-mail: Weithersho@gvl.esys.com hugholu@aol.com Tel: 903-457-6048 |
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